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Free spectra of linear equivalential algebras

Published online by Cambridge University Press:  12 March 2014

Katarzyna Slomczyńska
Katarzyna Slomczyńska*
Affiliation:
Institute of Mathematics, Pedagogical University, UL. Podchorażych 2, 30-084 Kraków, Poland, E-mail: kslomcz@ap.krakow.pl
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Abstract

We construct the finitely generated free algebras and determine the free spectra of varieties of linear equivalential algebras and linear equivalential algebras of finite height corresponding, respectively, to the equivalential fragments of intermediate Gödel-Dummett logic and intermediate finite-valued logics of Gödel. Thus we compute the number of purely equivalential propositional formulas in these logics in n variables for an arbitrary n ∈ ℕ.

Keywords

Gödel-Dummett logicintuitionistic equivalencefree algebrasfree spectraequivalential algebras
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 4 , December 2005 , pp. 1341 - 1358
Copyright
Copyright © Association for Symbolic Logic 2005

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